Question

The radius of gyration of a solid cylinder of mass $M$ and radius $R$ about its own axis is

• A. $\frac{R}{\sqrt{2}}$
• B. $\frac{R}{2}$
• C. $\frac{R}{\sqrt{3}}$
• D. $\frac{R}{3}$
• E. $\frac{R}{4}$

Answer 1

Answer: (A)

The radius of gyration of a solid cylinder
$k=\sqrt{\frac{I}{M}}=\sqrt{\frac{M{R}^2}{2}}$
$k=\frac{R}{\sqrt{2}}$